Stability of periodic waves of finite amplitude on the surface of a deep fluid, Journal of Applied Mechanics and Technical Physics, vol.10, issue.no. 4, pp.86-94, 1968. ,
DOI : 10.1007/BF00913182
Shabat Exact theory of two dimensional self focusing and one dimensinal self modulation of waves in nonlinear media, Sov. Phys. JETP, V, vol.34, pp.62-69, 1972. ,
Water waves, nonlinear Schr??dinger equations and their solutions, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, vol.61, issue.01, pp.16-43, 1983. ,
DOI : 10.1017/S0022112080000481
Generation of periodic trains of picosecond pulses in an optical fiber : exact solutions, Sov. Phys, J.E.T.P., V, vol.62, pp.894-899, 1985. ,
Exact first order solutions of the nonlinear Schrödinger equation, Th. Math. Phys., V, vol.72, issue.2, pp.183-196, 1987. ,
Rogue waves and rational solutions of nonlinear Schrödinger equation, Physical Review E, V, vol.80, 2009. ,
Rogue waves, rational solutions , the patterns of their zeros and integral relations, J. Phys. A : Math. Theor., V, vol.43, pp.122002-122003, 2010. ,
Wronskian addition formula and its applications , Max-Planck-Institut für Mathematik, p.161, 2002. ,
A New Family of Deformations of Darboux-P??schl-Teller Potentials, Letters in Mathematical Physics, vol.68, issue.2, pp.77-90, 2004. ,
DOI : 10.1023/B:MATH.0000043317.04919.a0
Families of quasi-rational solutions of the NLS equation and multi-rogue waves, Journal of Physics A: Mathematical and Theoretical, vol.44, issue.43, pp.435204-435205, 2011. ,
DOI : 10.1088/1751-8113/44/43/435204
Wronskian representation of solutions of the NLS equation and higher Peregrine breathers, Jour. Of Math. Sciences : Advances and Applications, issue.13 2, pp.71-153, 2012. ,
Degenerate determinant representation of solutions of the nonlinear Schr??dinger equation, higher order Peregrine breathers and multi-rogue waves, Journal of Mathematical Physics, vol.54, issue.1, pp.13504-13505, 2013. ,
DOI : 10.1063/1.4773096
Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave, Journal of Modern Physics, vol.04, issue.02, pp.246-266, 2013. ,
DOI : 10.4236/jmp.2013.42035
URL : https://hal.archives-ouvertes.fr/hal-00638079
Wronskian addition formula and Darboux- Pöschl-Teller potentials, Jour. Of Math, pp.645752-645753, 2013. ,
DOI : 10.1155/2013/645752
URL : http://doi.org/10.1155/2013/645752
Two Parameters Deformations of Ninth Peregrine Breather Solution of the NLS Equation and Multi-Rogue Waves, Journal of Mathematics, vol.85, issue.2, 2013. ,
DOI : 10.1103/PhysRevE.86.056602
Two-parameter determinant representation of seventh order rogue wave solutions of the NLS equation, Journal of Theoretical and Applied Physics, vol.7, issue.1, pp.1-6, 2013. ,
DOI : 10.1098/rspa.2011.0640
Six-parameters deformations of fourth order Peregrine breather solutions of the nonlinear Schr??dinger equation, Journal of Mathematical Physics, vol.54, issue.7, pp.73519-73520, 2013. ,
DOI : 10.1063/1.4816129
Deformations of third-order Peregrine breather solutions of the nonlinear Schr??dinger equation with four parameters, Physical Review E, vol.88, issue.4, pp.42903-42904, 2013. ,
DOI : 10.1103/PhysRevE.88.042903
Ten-parameter deformations of the sixth-order Peregrine breather solutions of the NLS equation, Physica Scripta, vol.89, issue.1, 2014. ,
DOI : 10.1088/0031-8949/89/01/015004
The Fifth Order Peregrine Breather and Its Eight-Parameter Deformations Solutions of the NLS Equation, Communications in Theoretical Physics, vol.61, issue.3, pp.61-365, 2014. ,
DOI : 10.1088/0253-6102/61/3/16
Higher order Peregrine breathers, their deformations and multirogue waves, Jour. Of Phys. : conferences series, 2014. ,
DOI : 10.1088/1742-6596/482/1/012016
Two parameters wronskian representation of solutions of nonlinear Schrödinger equation, eight Peregrine breather and multi-rogue waves, Jour. Of Math. Phys., V, vol.5, pp.93506-93507, 2014. ,
Hierarchy of solutions to the NLS equation and multi-rogue waves, Journal of Physics: Conference Series, vol.574, pp.12031-12032, 2015. ,
DOI : 10.1088/1742-6596/574/1/012031
URL : https://hal.archives-ouvertes.fr/hal-01045243
Tenth Peregrine breather solution to the NLS equation, Annals of Physics, vol.355, pp.293-298, 2015. ,
DOI : 10.1016/j.aop.2015.01.027
The Peregrine breather of order nine and its deformations with sixteen parameters solutions to the NLS equation, Physics Letters A, vol.379, issue.20-21, pp.379-13091313 ,
DOI : 10.1016/j.physleta.2015.03.011
th order AP breather, Journal of Physics A: Mathematical and Theoretical, vol.48, issue.14, pp.145203-145204, 2015. ,
DOI : 10.1088/1751-8113/48/14/145203
URL : https://hal.archives-ouvertes.fr/hal-01131608
Multi-parametric Deformations of Peregrine Breathers Solutions to the NLS Equation, Advances in Research, vol.4, issue.5, pp.346-364, 2015. ,
DOI : 10.9734/AIR/2015/16827
2011 TRIP : A computer algebraic system dedicated to celestial mechanics and perturbation series ACM Commun. comput . algebra V, pp.194-197, 2011. ,
Super Rogue Waves: Observation of a Higher-Order Breather in Water Waves, Physical Review X, vol.2, issue.1, pp.1-6, 2012. ,
DOI : 10.1103/PhysRevX.2.011015
The Peregrine soliton in nonlinear fibre optics, Nature Physics, vol.3, issue.10, p.790795, 2010. ,
DOI : 10.1103/RevModPhys.78.1135
URL : https://hal.archives-ouvertes.fr/hal-00510987
Classifying the hierarchy of nonlinear-Schr??dinger-equation rogue-wave solutions, Physical Review E, vol.88, issue.1, pp.13207-13208, 2013. ,
DOI : 10.1103/PhysRevE.88.013207